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Finding the Third Proportional to 648,880.50 and 867,974.25

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Solution

The third proportional to 648,880.50 and 867,974.25 is: 1,161,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,880.50 : 867,974.25 = 867,974.25 : x
  2. Step 2: Convert to fraction form
    648,880.50/867,974.25 = 867,974.25/x
  3. Step 3: Cross multiply
    648,880.50x = 867,974.25 × 867,974.25
  4. Step 4: Simplify right side
    648,880.50x = 753,379,298,663.06
  5. Step 5: Solve for x
    x = 753,379,298,663.06/648,880.50
  6. Step 6: Final answer
    x = 1,161,044.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.